Placing the Qur'an on the Ground
Question :
What is the ruling on placing the Mushaf on the ground if it is clean, or on a prayer rug?
Answer:
It is preferred to put it in an elevated location in order that it be raised up. This Allâh Almighty says:
"Exalted (in dignity), purified."
If you need to put it down, at least try to put it down in a place that is slightly elevated; but if this is not easy for you, you can put it down on a ground that is pure or on a carpet that is pure. Avoid placing the Qur'an in a lowly place, or an impure surface, or on dirt, for by placing it in these places, you are debasing it. If one needs to put it on a clean bed, there is no harm in that with the view that it is done out of concern for raising it.
Source:
Ihn Jibreen
Fatawa Islamiyah, Vol. 7 Page 27